(急速 现1小时内)因式分解 (1)-2a^n-1减4a^n+1减6a^2n+3 (2)m^2(a-2)+(2-a) (
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(急速 现1小时内)因式分解 (1)-2a^n-1减4a^n+1减6a^2n+3 (2)m^2(a-2)+(2-a) (3)
(3)4(a+2b)^2-25(2a-3b)^2
(4)4-12(x-y)+9(x-y)^2
(5)m^2+n^2+p^2+2mn+2mp+2np
(6)a^4-2a^2+1
(3)4(a+2b)^2-25(2a-3b)^2
(4)4-12(x-y)+9(x-y)^2
(5)m^2+n^2+p^2+2mn+2mp+2np
(6)a^4-2a^2+1
(3)4(a+2b)^2-25(2a-3b)^2
=[2(a+2b)]²-[5(2a-3b)]²
=(2a+4b)²-(10a-15b)²
=(2a+4b+10a-15b)(2a+4b-10a+15b)
=(12a-11b)(19b-8a)
(4)4-12(x-y)+9(x-y)^2
=[2-3(x-y)]²
=(2-3x+3y)²
(5)m^2+n^2+p^2+2mn+2mp+2np
=(m²+n²+2mn)+(2mp+2np)+p²
=(m+n)²+2p(m+n)+p²
=(m+n+p)²
(6)a^4-2a^2+1
=(a²-1)²
=[(a+1)(a-1)]²
=(a+1)²(a-1)²
=[2(a+2b)]²-[5(2a-3b)]²
=(2a+4b)²-(10a-15b)²
=(2a+4b+10a-15b)(2a+4b-10a+15b)
=(12a-11b)(19b-8a)
(4)4-12(x-y)+9(x-y)^2
=[2-3(x-y)]²
=(2-3x+3y)²
(5)m^2+n^2+p^2+2mn+2mp+2np
=(m²+n²+2mn)+(2mp+2np)+p²
=(m+n)²+2p(m+n)+p²
=(m+n+p)²
(6)a^4-2a^2+1
=(a²-1)²
=[(a+1)(a-1)]²
=(a+1)²(a-1)²
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